Eigenvector calculator

How to use this calculator

Edit the diagonal matrix after eigen. Each coordinate direction is an eigenvector in this example.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Eigenvectors are defined up to nonzero scale. Defective matrices need not have a full eigenbasis.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.